Weak and Measure-Valued Solutions to Evolutionary PDEs

Autorentext
J. Malek is Assistant Professor at the Mathematical Institute of Charles University, Czech Republic. J. Necas is Professor of Mathematics at the Mathematical Institute of Charles University, Czech Republic and at Northern Illinois University, DeKalb, USA. M. Rokyta is Assistant Professor in the Department of Mathematical Analysis at the Faculty of Mathematics and Physics, Charles University, Czech Republic and M. Ruzicka is Scientific Assistant at the Institute of Applied Mathematics of the University of Bonn, Germany.

Klappentext
This text presents a contribution to the theory of nonlinear evolutionary partial differential equations. It should be of interest to graduate students studying partial differential equations.

Zusammenfassung
This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering.

Inhalt
Introduction. Scalar Conservation Laws. Young measures and Scalar Conservation Laws. Measure-Valued Solutions and Nonlinear Hyperbolic Equations. Mathematical Theory for a Class of Non-Newtonian Fluids.

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